TPTP Problem File: GEO004-1.p
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%--------------------------------------------------------------------------
% File : GEO004-1 : TPTP v8.2.0. Bugfixed v2.5.0.
% Domain : Geometry
% Problem : Every line segment has a midpoint
% Version : [MOW76] axioms.
% English :
% Refs : [MOW76] McCharen et al. (1976), Problems and Experiments for a
% : [SST83] Schwabbauser et al. (1983), Metamathematische Methoden
% Source : [ANL]
% Names : T4 [MOW76]
% : t4.ver1.in [ANL]
% Status : Unsatisfiable
% Rating : 1.00 v2.5.0
% Syntax : Number of clauses : 22 ( 7 unt; 6 nHn; 19 RR)
% Number of literals : 67 ( 9 equ; 41 neg)
% Maximal clause size : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 0 prp; 2-4 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-6 aty)
% Number of variables : 80 ( 3 sgn)
% SPC : CNF_UNS_RFO_SEQ_NHN
% Comments :
% Bugfixes : v1.0.1 - Bug in GEO001-0.eq fixed.
% : v2.5.0 - Bug in GEO001-0.ax fixed.
%--------------------------------------------------------------------------
%----Include Tarski geometry axioms
include('Axioms/GEO001-0.ax').
%--------------------------------------------------------------------------
%----Quaife states that this hypothesis is unnecessary
cnf(a_not_b,hypothesis,
a != b ).
cnf(prove_midpoint,negated_conjecture,
( ~ equidistant(a,X,b,X)
| ~ between(a,X,b) ) ).
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